Algebra
Functions
Graphing
Quadratics
Number Sets
Factoring Polynomials
Statistics
Exponential: when the derivative remains the same
Quadratic: when the equation follows the format ax^2+bx+c
Linear: when the slope remains the same
Piecewise: when the equation follows a function for a given domain interval and then follows another function for another domain interval.
Ways
When graphed, is a parabola.
The quadratic formula can be used to solve for x. The quadratic formula is x= −b± square root of b2−4ac, then divide by 2a.
Forms
Standard form: ax^2+bx+c
Vertex Form: When the function is modified from a parent function to make the vertex clear. Format is y = a(x - h)^2+ k
GCF: Factor out the greatest common factor out first
Factoring by Grouping: Here is an example: 3x^2+6x+4x+8=
(3x^2+6x)+(4x+8)=
3x(x+2)+4(x+2)=
(x+2)(3x+4)
Calculator
Inequalities: Set the inequality equal to y. Graph like a normal equation, but if it is less than or greater than, it is a dotted line. If it is less than or equal to or greater than or equal to it is a normal line. Shade up if it is greater or greater or equal to. Shade below if it is less than or less than or equal to.
Linear Functions and Inequalities: put into into y=
in a graphing calculator to get the table
Systems of Equations: go to y= in a graphing calculator. press math. scroll down to the "piecewise(" option. press enter. enter your system of equations.
System of Inequalities: where the two shades meet, it is recommended to put a "S" in that section. Any point in that area is a solution to the system of inequalities.
System of Equations: Graph both equations, where they meet is the solution to the system of equations.
Natural Numbers: whole numbers from 0 to infinity.
Integers: Natural numbers with negatives
Rational Numbers: Fractions that end or repeat.
Irrational Numbers: Fractions that do not end and do not repeat.
Real Numbers: All numbers on the number line
Domain and Range
Domain: the interval of which x-values are available
Range: the interval of which y-values are available
Correlation Coefficient: The relationship of the points. The closer to one, the stronger the relationship. Vice versa.
Median: the middle number when all the numbers are listed in order.
Average: all numbers added divided by the number of numbers there are.
Quartile 3: The end of the box when the data is plotted on a box plot.
Quartile 1: The start of a box plot when the data is plotted on a box plot.
Interquartile Range: Q3-Q1